114399861790320 has 560 divisors, whose sum is σ = 407964517564032. Its totient is φ = 29806779064320.

The previous prime is 114399861790309. The next prime is 114399861790363. The reversal of 114399861790320 is 23097168993411.

114399861790320 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 9 + 8 + 617 + 9 + 0 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1625401530 + ... + 1625471910.

Almost surely, 2^{114399861790320} is an apocalyptic number.

114399861790320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114399861790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203982258782016).

114399861790320 is an abundant number, since it is smaller than the sum of its proper divisors (293564655773712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114399861790320 is an equidigital number, since it uses as much as digits as its factorization.

114399861790320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71052 (or 71031 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 114399861790320 in words is "one hundred fourteen trillion, three hundred ninety-nine billion, eight hundred sixty-one million, seven hundred ninety thousand, three hundred twenty".